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Two mathematicians have proven Patterson’s conjecture, which was designed to explain a strange pattern in sums involving prime numbers.

The key to understanding the origin and fate of the universe may be a more complete understanding of the vacuum.

The solutions to Einstein’s equations that describe a spinning black hole won’t blow up, even when poked or prodded.

A hidden link has been found between two seemingly unrelated particle collision outcomes. It’s the latest example of a mysterious web of mathematical connections between disparate theories of physics.

New research finds that chaos plays a bigger role in population dynamics than decades of ecological data seemed to suggest.

In the days after the mega-telescope started delivering data, astronomers reported new discoveries about galaxies, stars, exoplanets and even Jupiter.

Three computer scientists have posted a proof of the NLTS conjecture, showing that systems of entangled particles can remain difficult to analyze even away from extremes.

In 1973, Paul Erdős asked if it was possible to assemble sets of “triples” — three points on a graph — so that they abide by two seemingly incompatible rules. A new proof shows it can always be done.

Patterns that guide the development of feathers and other features can be set by mechanical forces in the embryo, not just by gradients of chemicals.